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Chapter 21: Parallel Databases Database System Concepts, 5th Ed. ©Silberschatz, Korth and Sudarshan See www.db-book.com for conditions on re-use Database System Concepts Chapter 1: Introduction Part 1: Relational databases Chapter 2: Relational Model Chapter 3: SQL Chapter 4: Advanced SQL Chapter 5: Other Relational Languages Part 2: Database Design Chapter 6: Database Design and the E-R Model Chapter 7: Relational Database Design Chapter 8: Application Design and Development Part 3: Object-based databases and XML Chapter 9: Object-Based Databases Chapter 10: XML Part 4: Data storage and querying Chapter 11: Storage and File Structure Chapter 12: Indexing and Hashing Chapter 13: Query Processing Chapter 14: Query Optimization Part 5: Transaction management Chapter 15: Transactions Chapter 16: Concurrency control Chapter 17: Recovery System Database System Concepts - 5th Edition, Aug 22, 2005. Part 6: Data Mining and Information Retrieval Chapter 18: Data Analysis and Mining Chapter 19: Information Retreival Part 7: Database system architecture Chapter 20: Database-System Architecture Chapter 21: Parallel Databases Chapter 22: Distributed Databases Part 8: Other topics Chapter 23: Advanced Application Development Chapter 24: Advanced Data Types and New Applications Chapter 25: Advanced Transaction Processing Part 9: Case studies Chapter 26: PostgreSQL Chapter 27: Oracle Chapter 28: IBM DB2 Chapter 29: Microsoft SQL Server Online Appendices Appendix A: Network Model Appendix B: Hierarchical Model Appendix C: Advanced Relational Database Model 21.2 ©Silberschatz, Korth and Sudarshan Part 7: Database system architecture (Chapters 20 through 22). Chapter 20: Database-System Architecture covers computer-system architecture, and describes the influence of the underlying computer system on the database system. We discuss centralized systems, client-server systems, parallel and distributed architectures, and network types in this chapter. Chapter 21: Parallel Databases explores a variety of parallelization techniques, including I/O parallelism, interquery and intraquery parallelism, and interoperation and intraoperation parallelism. The chapter also describes parallel-system design. Chapter 22: Distributed Databases covers distributed database systems, revisiting the issues of database design, transaction management, and query evaluation and optimization, in the context of distributed databases. The chapter also covers issues of system availability during failures and describes the LDAP directory system. Database System Concepts - 5th Edition, Aug 22, 2005. 21.3 ©Silberschatz, Korth and Sudarshan Chapter 21: Parallel Databases 21.1 Introduction 21.2 I/O Parallelism 21.3 Inter-query Parallelism 21.4 Intra-query Parallelism 21.5 Intra-operation Parallelism 21.6 Inter-operation Parallelism 21.7 Design of Parallel Systems 21.8 Summary Database System Concepts - 5th Edition, Aug 22, 2005. 21.4 ©Silberschatz, Korth and Sudarshan Introduction Parallel machines are becoming quite common and affordable Prices of microprocessors, memory and disks have dropped sharply Databases are growing increasingly large large volumes of transaction data are collected and stored for later analysis. multimedia objects like images are increasingly stored in databases Large-scale parallel database systems increasingly used for: storing large volumes of data processing time-consuming decision-support queries providing high throughput for transaction processing Database System Concepts - 5th Edition, Aug 22, 2005. 21.5 ©Silberschatz, Korth and Sudarshan Parallelism in Databases Data can be partitioned across multiple disks for parallel I/O Different queries can be run in parallel with each other (Inter-Query Parallelism) Concurrency control takes care of conflicts Queries are expressed in high level language SQL, then translated to relational algebra Individual relational operations (e.g., sort, join, aggregation) can be executed in parallel (Intra-Query Parallelism) data can be partitioned and each processor can work independently on its own partition. Thus, databases naturally lend themselves to parallelism Potential parallelism is everywhere in database processing Database System Concepts - 5th Edition, Aug 22, 2005. 21.6 ©Silberschatz, Korth and Sudarshan Chapter 21: Parallel Databases 21.1 Introduction 21.2 I/O Parallelism 21.3 Inter-query Parallelism 21.4 Intra-query Parallelism 21.5 Intra-operation Parallelism 21.6 Inter-operation Parallelism 21.7 Design of Parallel Systems 21.8 Summary Database System Concepts - 5th Edition, Aug 22, 2005. 21.7 ©Silberschatz, Korth and Sudarshan I/O Parallelism Reduce the time required to retrieve relations from disk by partitioning the relations on multiple disks. Horizontal partitioning – tuples of a relation are divided among many disks such that each tuple resides on one disk. (number of disks = n): Round-robin partitioning: Send the ith tuple inserted in the relation to disk i mod n. Hash partitioning: Choose one or more attributes as the partitioning attributes. Choose hash function h with range 0…n - 1 Let i denote result of hash function h applied to the partitioning attribute value of a tuple. Send tuple to disk i. Range partitioning: Choose an attribute v as the partitioning attribute A partitioning vector [vo, v1, ..., vn-2] is chosen Tuples such that vi v vi+1 go to disk i + 1 Tuples with v < v0 go to disk 0 Tuples with v vn-2 go to disk n-1. E.g., with a partitioning vector [5,11] and 3 disks, a tuple with value 2 goes to disk 0, a tuple with value 8 goes to disk 1, while a tuple with value 20 goes to disk2. Database System Concepts - 5th Edition, Aug 22, 2005. 21.8 ©Silberschatz, Korth and Sudarshan Comparison of Partitioning Techniques Evaluate how well partitioning techniques support the following types of data access in a parallel fashion: 1.Scanning the entire relation – scan queries 2.Locating a tuple associatively – point queries (E.g., r.A = 25) 3.Locating all tuples such that the value of a given attribute lies within a specified range – range queries (E.g., 10 r.A < 25) Round robin partitioning: Best suited for sequential scan of entire relation on each query. All disks have almost an equal number of tuples Retrieval work for entire relation is thus well balanced between disks Point queries and Range queries are difficult to process No clustering -- tuples are scattered across all disks p1 pn p2 Given Data Database System Concepts - 5th Edition, Aug 22, 2005. 21.9 ©Silberschatz, Korth and Sudarshan Comparison of Partitioning Techniques (Cont.) Hash partitioning: Good for sequential access Assuming hash function is good, and partitioning attributes form a key, tuples will be equally distributed between disks Retrieval work for entire relation is then well balanced between disks. Good for point queries on partitioning attribute Can lookup single disk, leaving others available for answering other queries. Index on partitioning attribute can be local to disk, making lookup and update more efficient No clustering, so difficult to answer range queries p1 p2 pn Hashing Function H Given Data Database System Concepts - 5th Edition, Aug 22, 2005. 21.10 ©Silberschatz, Korth and Sudarshan Comparison of Partitioning Techniques (Cont.) Range partitioning: Provides data clustering by partitioning attribute value Good for sequential access Good for point queries on partitioning attribute only one disk needs to be accessed. For range queries on partitioning attribute, one to a few disks may need to be accessed Remaining disks are available for other queries. Good if result tuples are from one to a few blocks. If many blocks are to be fetched and they are still fetched from one to a few disks, and potential parallelism in disk access is wasted Example of execution skew Round-robin or Hash partitioning might be better for this case p1 p2 pn Given Data Database System Concepts - 5th Edition, Aug 22, 2005. 21.11 ©Silberschatz, Korth and Sudarshan Handling of Skew problem Partitioning a Relation across Disks If a relation contains only a few tuples which will fit into a single disk block, then assign the relation to a single disk. Large relations are preferably partitioned across all the available disks. If a relation consists of m disk blocks and there are n disks available in the system, then the relation should be allocated min(m,n) disks. The distribution of tuples to disks may be skewed Some disks have many tuples, while others may have fewer tuples Types of skew: Attribute-value skew All the tuples with the same value for the partitioning attribute end up in the same partition Can occur with range-partitioning and hash-partitioning Partition skew With range-partitioning, badly chosen partition vector may assign too many tuples to some partitions and too few to others Less likely with hash-partitioning if a good hash-function is chosen Database System Concepts - 5th Edition, Aug 22, 2005. 21.12 ©Silberschatz, Korth and Sudarshan Handling Skew in Range-Partitioning To create a balanced partitioning vector (assuming partitioning attribute forms a key of the relation): Sort the relation on the partitioning attribute. Construct the partition vector by scanning the relation in sorted order as follows. After every 1/nth of the relation has been read, the value of the partitioning attribute of the next tuple is added to the partition vector. n denotes the number of partitions to be constructed. Duplicate entries or imbalances can result if duplicates are present in partitioning attributes. Perform partitioning using the balanced partitioning vector 1 Partioning attribute 3 n=3 balanced partitioning vector 4 1..4 7 7..11 9 12..15 .. 15 Database System Concepts - 5th Edition, Aug 22, 2005. 21.13 ©Silberschatz, Korth and Sudarshan Handling Skew using Histograms Balanced partitioning vector can be constructed from histogram in a relatively straightforward fashion Assume uniform distribution within each range of the histogram Histogram can be constructed by scanning relation, or sampling (blocks containing) tuples of the relation Histograms can be stored in the system catalog Perform partitioning using the balanced partitioning vector Database System Concepts - 5th Edition, Aug 22, 2005. 21.14 ©Silberschatz, Korth and Sudarshan Handling Skew using Virtual Processor Partitioning Skew in range partitioning can be handled elegantly using virtual processor partitioning: create a large number of partitions (say 10 to 20 times the number of processors) Assign virtual processors to partitions either in round-robin fashion or based on estimated cost of processing each virtual partition Basic idea: If any normal partition would have been skewed, it is very likely the skew is spread over a number of virtual partitions Skewed virtual partitions get spread across a number of processors, so work gets distributed evenly! Database System Concepts - 5th Edition, Aug 22, 2005. 21.15 ©Silberschatz, Korth and Sudarshan Virtual Processor Partitioning Given Data A...E F...J K...N O...Z Virtual processors VP1 VP2 Real processors P1 Database System Concepts - 5th Edition, Aug 22, 2005. VP3 P2 21.16 VP4 VP5 Pn ©Silberschatz, Korth and Sudarshan Chapter 21: Parallel Databases 21.1 Introduction 21.2 I/O Parallelism 21.3 Inter-query Parallelism 21.4 Intra-query Parallelism 21.5 Intra-operation Parallelism 21.6 Inter-operation Parallelism 21.7 Design of Parallel Systems 21.8 Summary Database System Concepts - 5th Edition, Aug 22, 2005. 21.17 ©Silberschatz, Korth and Sudarshan Interquery Parallelism Different queries / transactions execute in parallel with one another Increases transaction throughput used primarily to scale up a transaction processing system to support a larger number of transactions per second Can use single-processor version of DBMS without drastic changes? What about concurrency control What about recovery Many local memories may cause consistency problem Database System Concepts - 5th Edition, Aug 22, 2005. 21.18 ©Silberschatz, Korth and Sudarshan Interquery Parallelism (cont.) Shared-memory parallel database is easiest form of parallelism to support because even sequential database systems support concurrent processing Single-processor version of DBMS can be used without drastic changes More complicated to implement on shared-disk or shared-nothing architectures Locking and logging must be coordinated by passing messages between processors. Data in a local buffer may have been updated at another processor Cache-coherency has to be maintained — reads and writes of data in buffer must find latest version of data Cache-coherency protocol may need to be combined with concurrency control Database System Concepts - 5th Edition, Aug 22, 2005. 21.19 ©Silberschatz, Korth and Sudarshan Cache Coherency Protocol in Parallel Database Example of a cache coherency protocol for shared disk systems: Before reading/writing to a page, the page must be locked in shared/exclusive mode. On locking a page, the page must be read from disk Before unlocking a page, the page must be written to disk if it was modified. More complex protocols with fewer disk reads/writes exist Cache coherency protocols for shared-nothing systems are similar. Each database page is assigned a home processor. Requests to fetch the page or write it to disk are sent to the home processor. Database System Concepts - 5th Edition, Aug 22, 2005. 21.20 ©Silberschatz, Korth and Sudarshan Chapter 21: Parallel Databases 21.1 Introduction 21.2 I/O Parallelism 21.3 Inter-query Parallelism 21.4 Intra-query Parallelism 21.5 Intra-operation Parallelism 21.6 Inter-operation Parallelism 21.7 Design of Parallel Systems 21.8 Summary Database System Concepts - 5th Edition, Aug 22, 2005. 21.21 ©Silberschatz, Korth and Sudarshan Intra-query Parallelism Execution of a single query in parallel on multiple processors / disks important for speeding up long-running queries. Two complementary forms of intraquery parallelism : Intra-operation Parallelism – parallelize the execution of each individual operation in the query This form scales better with increasing parallelism because the number of tuples processed by each operation is typically more than the number of operations in a query Inter-operation Parallelism – execute the different operations in a query expression in parallel. Database System Concepts - 5th Edition, Aug 22, 2005. 21.22 ©Silberschatz, Korth and Sudarshan Parallel Processing of Relational Operations Our discussion of parallel algorithms assumes: read-only queries shared-nothing architecture n processors, P0, ..., Pn-1, and n disks D0, ..., Dn-1, where Di Pi. If a processor has multiple disks they can simply simulate a single disk Di. Shared-nothing architectures can be efficiently simulated on shared-memory and shared-disk systems. Algorithms for shared-nothing systems can thus be run on shared-memory and shared-disk systems. However, some optimizations may be possible. Database System Concepts - 5th Edition, Aug 22, 2005. 21.23 ©Silberschatz, Korth and Sudarshan Chapter 21: Parallel Databases 21.1 Introduction 21.2 I/O Parallelism 21.3 Inter-query Parallelism 21.4 Intra-query Parallelism 21.5 Intra-operation Parallelism 21.6 Inter-operation Parallelism 21.7 Design of Parallel Systems 21.8 Summary Database System Concepts - 5th Edition, Aug 22, 2005. 21.24 ©Silberschatz, Korth and Sudarshan Parallel Sort Range-Partitioning Sort Choose processors P0, ..., Pm, where m n -1 to do sorting. Create range-partition vector with m entries, on the sorting attributes Redistribute the relation using range partitioning All tuples that lie in the ith range are sent to processor Pi Pi stores the tuples it received temporarily on disk Di. This step requires I/O and communication overhead. Each processor Pi sorts its partition of the relation locally. Each processors executes same operation (sort) in parallel with other processors, without any interaction with the others (data parallelism). Final merge operation is trivial range-partitioning ensures that, for 1 i < j m, the key values in processor Pi. are all less than the key values in Pj. Database System Concepts - 5th Edition, Aug 22, 2005. 21.25 ©Silberschatz, Korth and Sudarshan Range-Partitioning Sort Pn D0 P1 P2 Local sort Sorts its partition locally D1 Local sort D2 P3 Local sort D3 Range partitioning P0 D0 Database System Concepts - 5th Edition, Aug 22, 2005. 21.26 ©Silberschatz, Korth and Sudarshan Parallel Sort (Cont.) Parallel External Sort-Merge Assume the relation has already been partitioned among disks D0, ..., Dn-1 (in whatever manner) Each processor Pi locally sorts the data on disk Di The sorted runs on each processor are then merged to get the final sorted output. Parallelize the merging of sorted runs as follows: The sorted partitions at each processor Pi are range-partitioned across the processors P0, ..., Pm-1 Each processor Pi performs a merge on the streams as they are received, to get a single sorted run The sorted runs on processors P0,..., Pm-1 are concatenated to get the final result Database System Concepts - 5th Edition, Aug 22, 2005. 21.27 ©Silberschatz, Korth and Sudarshan Parallel External Sort-Merge Pn D0 : concatenated run Merge the sorted runs P3 P2 P1 Each Di has a sorted run D2 D1 D3 Range partitioning Sorts its partition locally Local sort Local sort D2 D1 Local sort D3 ※ Assume the relation has already been partitioned Database System Concepts - 5th Edition, Aug 22, 2005. 21.28 ©Silberschatz, Korth and Sudarshan Parallel Join Methods The join operation requires pairs of tuples to be tested to see if they satisfy the join condition, and if they do, the pair is added to the join output. Parallel Join algorithms Split the pairs to be tested over several processors Each processor then computes part of the join locally In a final step, the results from each processor can be collected together to produce the final result Partitioned Join Fragment-and-Replicate Join Partitioned Parallel Hash-Join Parallel Nested-Loop Join Database System Concepts - 5th Edition, Aug 22, 2005. 21.29 ©Silberschatz, Korth and Sudarshan Partitioned Join For equi-joins and natural joins, it is possible to partition the two input relations across the processors, and compute the join locally at each processor Let r and s be the input relations, and we want to compute r r.A=s.B s r and s are partitioned into n partitions, denoted r0, r1, ..., rn-1 and s0, s1, ..., sn-1 Can use either range partitioning or hash partitioning. r and s must be partitioned on their join attributes (r.A and s.B), using the same range-partitioning vector or hash function Partitions ri and si are sent to processor Pi Each processor Pi locally computes ri ri.A=si.B si Any of the standard join methods can be used. Database System Concepts - 5th Edition, Aug 22, 2005. 21.30 ©Silberschatz, Korth and Sudarshan Partitioned Join (Cont.) Range partitioning or Hash partitioning on join attributes Database System Concepts - 5th Edition, Aug 22, 2005. 21.31 ©Silberschatz, Korth and Sudarshan Fragment-and-Replicate Join Partitioned join is not possible for some join conditions e.g., non-equijoin conditions, such as r.A > s.B. For joins where partitioning is not applicable, parallelization can be accomplished by fragment and replicate technique Depicted on next slide Special case – asymmetric fragment-and-replicate: One of the relations, say r, is partitioned any partitioning technique can be used. The other relation, s, is replicated across all the processors Processor Pi then locally computes the join of ri with all of s using any join technique. Database System Concepts - 5th Edition, Aug 22, 2005. 21.32 ©Silberschatz, Korth and Sudarshan Fragment-and-Replicate Join (Cont.) General case: reduces the sizes of the relations at each processor r is partitioned into n partitions,r0, r1, ..., r n-1 s is partitioned into m partitions, s0, s1, ..., sm-1 Any partitioning technique may be used. There must be at least m * n processors Label the processors as P0,0, P0,1, ..., P0,m-1, P1,0, ..., Pn-1m-1 Pi,j computes the join of ri with sj In order to do so, ri is replicated to Pi,0, Pi,1, ..., Pi,m-1, while si is replicated to P0,i, P1,i, ..., Pn-1,i Any join technique can be used at each processor Pi,j. Database System Concepts - 5th Edition, Aug 22, 2005. 21.33 ©Silberschatz, Korth and Sudarshan Fragment-and-Replicate Join (Cont.) Both versions of fragment-and-replicate work with any join condition, since every tuple in r can be tested with every tuple in s. Usually has a higher cost than partitioned join, since one of the relations (for asymmetric fragment-and-replicate) or both relations (for general fragmentand-replicate) have to be replicated. Sometimes asymmetric fragment-and-replicate is preferable even though partitioning could be used. E.g., Suppose s is small and r is large, and already partitioned It may be cheaper to replicate s across all processors, rather than repartition r and s on the join attributes. Database System Concepts - 5th Edition, Aug 22, 2005. 21.34 ©Silberschatz, Korth and Sudarshan Depiction of Fragment-and-Replicate Joins S replicated r0 replicated s0 replicated When partitioned join is not possible! Database System Concepts - 5th Edition, Aug 22, 2005. 21.35 ©Silberschatz, Korth and Sudarshan Partitioned Parallel Hash-Join Parallelizing partitioned hash join: Assume s is smaller than r and therefore s is chosen as the build relation. A hash function h1 takes the join attribute value of each tuple in s and maps this tuple to one of the n processors. Each processor Pi reads the tuples of s that are on its disk Di, and sends each tuple to the appropriate processor based on hash function h1. Let si denote the tuples of relation s that are sent to processor Pi. As tuples of relation s are received at the destination processors, they are partitioned further using another hash function, h2, which is used to compute the hash-join locally. (Cont.) Database System Concepts - 5th Edition, Aug 22, 2005. 21.36 ©Silberschatz, Korth and Sudarshan Partitioned Parallel Hash-Join (Cont.) Once the tuples of s have been distributed, the larger relation r is redistributed across the m processors using the hash function h1 Let ri denote the tuples of relation r that are sent to processor Pi. As the r tuples are received at the destination processors, they are repartitioned using the function h2 (just as the probe relation is partitioned in the sequential hash-join algorithm). Each processor Pi executes the build and probe phases of the hash-join algorithm on the local partitions ri and si of r and s to produce a partition of the final result of the hash-join. Note: Hash-join optimizations can be applied to the parallel case e.g., the hybrid hash-join algorithm can be used to cache some of the incoming tuples in memory and avoid the cost of writing them and reading them back in. Database System Concepts - 5th Edition, Aug 22, 2005. 21.37 ©Silberschatz, Korth and Sudarshan Partitioned Parallel Hash-Join Relation R OUTPUT 1 Partitions Pr1 R1 2 INPUT hash function ... h1 R2 i Ri Partition both relations using hash function h1 Relation S OUTPUT 1 2 INPUT ... h1 Pr3 Partitions Ps1 S1 S2 hash function Pr2 i Si Ps2 Ps3 main memory buffers Database System Concepts - 5th Edition, Aug 22, 2005. 21.38 ©Silberschatz, Korth and Sudarshan Partitioned Parallel Hash-Join Pi Partitions of R Hash table for partition Si Partitions of S h2 h2 Read in a partition of R, hash it using h2 Input buffer Ri Output buffer main memory buffers Pn Disk Disk Join Result Disk Database System Concepts - 5th Edition, Aug 22, 2005. 21.39 ©Silberschatz, Korth and Sudarshan Parallel Nested-Loop Join Assume that Relation s is much smaller than relation r and that r is stored by partitioning. There is an index on a join attribute of relation r at each of the partitions of relation r. Use asymmetric fragment-and-replicate join, with relation s being replicated, and using the existing partitioning of relation r. Each processor Pj where a partition of relation s is stored reads the tuples of relation s stored in Dj, and replicates the tuples to every other processor Pi. At the end of this phase, relation s is replicated at all sites that store tuples of relation r. Each processor Pi performs an indexed nested-loop join of relation s with the ith partition of relation r. Database System Concepts - 5th Edition, Aug 22, 2005. 21.40 ©Silberschatz, Korth and Sudarshan Parallel Nested-Loop Join R Join attribute A Partitions P1 Replicate of S INPUT R1 1 2 R1 S R2 S INPUT S ... ... i S Ri Output buffer Disk Disk A..Z Disk Disk Index nested loop join Pi Join Result Asymmetric fragment + replicate join Database System Concepts - 5th Edition, Aug 22, 2005. 21.41 Disk ©Silberschatz, Korth and Sudarshan Parallel Selection Selection (r) If is of the form ai = v, where ai is an attribute and v a value. If r is partitioned on ai the selection is performed at a single processor If is of the form l < ai < u (i.e., is a range selection) and the relation has been range-partitioned on ai Selection is performed at each processor whose partition overlaps with the specified range of values In all other cases: the selection is performed in parallel at all the processors E = 3 E = 3 [R1: E < 10] [R2: E ≥ 10] Database System Concepts - 5th Edition, Aug 22, 2005. [R1: E < 10] 21.42 E = 3 Ø [R2 : E ≥ 10] ©Silberschatz, Korth and Sudarshan Duplicate Elimination and Parallel Projection Duplicate elimination Perform by using either of the parallel sort techniques eliminate duplicates as soon as they are found during sorting. Can also partition the tuples (using either range-partitioning or hashpartitioning) and perform duplicate elimination locally at each processor. Projection Projection without duplicate elimination can be performed as tuples are read in from disk in parallel. If duplicate elimination is required, any of the above duplicate elimination techniques can be used. Database System Concepts - 5th Edition, Aug 22, 2005. 21.43 ©Silberschatz, Korth and Sudarshan Parallel Grouping/Aggregation Partition the relation on the grouping attributes and then compute the aggregate values locally at each processor. Can reduce cost of transferring tuples during partitioning by partly computing aggregate values before partitioning. Consider the sum aggregation operation: Perform aggregation operation at each processor Pi on those tuples stored on disk Di results in tuples with partial sums at each processor. Result of the local aggregation is partitioned on the grouping attributes, and the aggregation performed again at each processor Pi to get the final result. Fewer tuples need to be sent to other processors during partitioning. Database System Concepts - 5th Edition, Aug 22, 2005. 21.44 ©Silberschatz, Korth and Sudarshan Parallel Grouping/Aggregation P1 P2 P3 P4 P5 sum Partly computing sum sum sum sum sum D1 D2 D3 D4 D5 Grouping partitioning P0 D0 Database System Concepts - 5th Edition, Aug 22, 2005. 21.45 ©Silberschatz, Korth and Sudarshan Cost of Parallel Evaluation of Operations If there is no skew in the partitioning, and there is no overhead due to the parallel evaluation, expected speed-up will be 1/n If skew and overheads are also to be taken into account, the time taken by a parallel operation can be estimated as Tpart + Tasm + max (T0, T1, …, Tn-1) Tpart is the time for partitioning the relations Tasm is the time for assembling the results Ti is the time taken for the operation at processor Pi this needs to be estimated taking into account the skew, and the time wasted in contentions. Database System Concepts - 5th Edition, Aug 22, 2005. 21.46 ©Silberschatz, Korth and Sudarshan Chapter 21: Parallel Databases 21.1 Introduction 21.2 I/O Parallelism 21.3 Inter-query Parallelism 21.4 Intra-query Parallelism 21.5 Intra-operation Parallelism 21.6 Inter-operation Parallelism 21.7 Design of Parallel Systems 21.8 Summary Database System Concepts - 5th Edition, Aug 22, 2005. 21.47 ©Silberschatz, Korth and Sudarshan Inter-operator Parallelism: Pipelined Parallelism Consider a join of four relations : r1 r2 r3 r4 Set up a pipeline that computes the three joins in parallel Let P1 be assigned the computation of temp1 = r1 r2 And P2 be assigned the computation of temp2 = temp1 r3 And P3 be assigned the computation of temp2 r4 Each of these operations can execute in parallel, sending result tuples it computes to the next operation even as it is computing further results Provided a pipelineable join evaluation algorithm (e.g. indexed nested loops join) is used P3 P2 r4 r3 r1 r2 Database System Concepts - 5th Edition, Aug 22, 2005. result P3 P2 P1 P1 tuples matching r2 r1 21.48 r3 r4 ©Silberschatz, Korth and Sudarshan Inter-operator Parallelism: Pipelined Parallelism Factors limiting Utility of Pipelined Parallelism Pipeline parallelism is useful since it avoids writing intermediate results to disk Useful with small number of processors, but does not scale up well with more processors. One reason is that pipeline chains do not attain sufficient length. Cannot pipeline operators which do not produce output until all inputs have been accessed (e.g. aggregate and sort) Little speedup is obtained for the frequent cases of skew in which one operator's execution cost is much higher than the others. Database System Concepts - 5th Edition, Aug 22, 2005. 21.49 ©Silberschatz, Korth and Sudarshan Inter-operator Parallelism: Independent Parallelism Consider a join of four relations : r1 r2 r3 r4 Let P1 be assigned the computation of temp1 = r1 r2 And P2 be assigned the computation of temp2 = r3 r4 And P3 be assigned the computation of temp1 temp2 P1 and P2 can work independently in parallel P3 has to wait for input from P1 and P2 – Can pipeline output of P1 and P2 to P3, combining independent parallelism and pipelined parallelism Does not provide a high degree of parallelism useful with a lower degree of parallelism less useful in a highly parallel system P3 P1 r1 Database System Concepts - 5th Edition, Aug 22, 2005. P2 r2 r3 21.50 r4 ©Silberschatz, Korth and Sudarshan Query Optimization in Parallel DB Query optimization in parallel databases is significantly more complex than query optimization in sequential databases Cost models are more complicated, since we must take into account partitioning costs and issues such as skew and resource contention When scheduling an execution tree in parallel system, must decide: How to parallelize each operation and how many processors to use for it What operations to pipeline, what operations to execute independently in parallel, and what operations to execute sequentially, one after the other. Determining the amount of resources to allocate for each operation is a problem E.g., allocating more processors than optimal can result in high communication overhead. Long pipelines should be avoided as the final operation may wait a lot for inputs, while holding precious resources Database System Concepts - 5th Edition, Aug 22, 2005. 21.51 ©Silberschatz, Korth and Sudarshan Query Optimization in Parallel DB (Cont.) The number of parallel evaluation plans from which to choose is much larger than the number of sequential evaluation plans. Therefore heuristics are needed while optimization Two alternative heuristics for choosing parallel plans: No pipelining and inter-operation pipelining; just parallelize every operation across all processors. Finding best plan is now much easier --- use standard optimization technique, but with new cost model Volcano parallel database popularize the exchange-operator model – exchange operator is introduced into query plans to partition and distribute tuples – each operation works independently on local data on each processor, in parallel with other copies of the operation First choose most efficient sequential plan and then choose how best to parallelize the operations in that plan. Can explore pipelined parallelism as an option Choosing a good physical organization (partitioning technique) is important to speed up queries. Database System Concepts - 5th Edition, Aug 22, 2005. 21.52 ©Silberschatz, Korth and Sudarshan Chapter 21: Parallel Databases 21.1 Introduction 21.2 I/O Parallelism 21.3 Inter-query Parallelism 21.4 Intra-query Parallelism 21.5 Intra-operation Parallelism 21.6 Inter-operation Parallelism 21.7 Design of Parallel Systems 21.8 Summary Database System Concepts - 5th Edition, Aug 22, 2005. 21.53 ©Silberschatz, Korth and Sudarshan Issues in Design of Parallel Systems Parallel loading of data from external sources is needed in order to handle large volumes of incoming data. Resilience to failure of some processors or disks. Probability of some disk or processor failing is higher in a parallel system. Operation (perhaps with degraded performance) should be possible in spite of failure. Redundancy achieved by storing extra copy of every data item at another processor. On-line reorganization of data and schema changes must be supported. For example, index construction on terabyte databases can take hours or days even on a parallel system. Need to allow other processing (insertions/deletions/updates) to be performed on relation even as index is being constructed. Basic idea: index construction tracks changes and ``catches up'‘ on changes at the end. Also need support for on-line repartitioning and schema changes (executed concurrently with other processing). Database System Concepts - 5th Edition, Aug 22, 2005. 21.54 ©Silberschatz, Korth and Sudarshan Chapter 21: Parallel Databases 21.1 Introduction 21.2 I/O Parallelism 21.3 Inter-query Parallelism 21.4 Intra-query Parallelism 21.5 Intra-operation Parallelism 21.6 Inter-operation Parallelism 21.7 Design of Parallel Systems 21.8 Summary Database System Concepts - 5th Edition, Aug 22, 2005. 21.55 ©Silberschatz, Korth and Sudarshan Ch21. Summary (1) Parallel databases have gained significant commercial acceptance in the past 15 years. In I/P parallelism, relations are partitioned among available disks so that they can be retrieved faster. Three commonly used partitioning techniques are round-robin partitioning, hash partitioning, and range partitioning. Skew is a major problem, especially with increasing degrees of parallelism. Balanced partitioning vectors, using histograms, and virtual processor partitioning are among the techniques used to reduce skew. In interquery parallelism, we run different queries concurrently to increase throughput. Intraquery parallelism attempts to reduce the cost of running a query. There are two types of intraquery parallelism: intra-operation parallelism and inter-operation parallelism. Database System Concepts - 5th Edition, Aug 22, 2005. 21.56 ©Silberschatz, Korth and Sudarshan Ch21. Summary (2) We use intraoperation parallelism to execute relational operations, such as sorts and joins, in parallel. Intraopeation parallelism and interoperation parallelism. There are two basic approaches to parallelizing a binary operation such as join. In partitioned parallelism, the relations are split into several parts, and tuples in ri are joined with only tuples from si. partitioned parallelism can only be used for natural and equi-joins. In fragement and replicate, both relations are partitioned and each partition is replicated. In asymmetric fragment-and-replicate, one of the relations is replicated while the other is partitioned. Unlike partitioned parallelism, fragment and replicate and asymmetric fragment -and -replicate can be used with any join condition. Both parallelization techniques can work in conjunction with and join technique. Database System Concepts - 5th Edition, Aug 22, 2005. 21.57 ©Silberschatz, Korth and Sudarshan Ch21. Summary (3) In independent parallelism, different operations that do not depend on one another are executed in parallel. In pipelined parallelism, processors send the results of one operation to another operation as those results are computed, without waiting for the entire operation to finish. Query optimization in parallel databases is significantly more complex than query optimization in sequential databases. Database System Concepts - 5th Edition, Aug 22, 2005. 21.58 ©Silberschatz, Korth and Sudarshan Ch21. Bibliographical Notes (1) Relational databases systems began appearing in the marketplace in 1983; now, they dominate it. By the late1970s and early 1980s, as the relational model gained reasonably sound footing, people recognized that relational operators are highly parallelizable and have good dataflow properties. A commercial system. Teradata, and several research projects, such as GRACE (Kitsuregawa et al.[1983], Fushimi et al.[1986]), GAMMA (DeWitt et al. [1986], DeWitt[1990]),and Bubba (Boral et al.[1990]) were launched in quick succession. Researchers used these parallel databases systems to investigate the practicality of parallel execution of relational operators. Subsequently, in the late 1980s and the 1990s. Several more companies-such as Tandem, Oracle, Sybase, Informix, and Red-Brick (now a part of Informix, which is itself now a part of IBM)-entered the parallel database market. Research projects in the academic world include XPRS (Stonebraker[1989] and Volcano(Graefe[1990]). Database System Concepts - 5th Edition, Aug 22, 2005. 21.59 ©Silberschatz, Korth and Sudarshan Ch21. Bibliographical Notes (2) Locking in parallel databases is discussed in Joshi[1991], Mohan and Narang[1991], and Mohan and Narang[1992]. Cache-coherency protocols for parallel databases systems are discussed by Dias et al. [1989], Mohan and Marang[1991], Mohan and Narang[1992], and Rahm [1993]. Carey et al.[1991] discusses caching issues in a client-sever system. Parallelism and recovery in databases systems are discusses by Bayer et al.[1980]. Graefe[1993] presents and excellent survey of query processing, including parallel processing of queries. Parallel sorting is discussed in DeWitt et al.[1992]. Parallel join algorithms are described by Nakayama et al.[1984], Kitsuregawa et al.[1983], Richardson et al.[1987], Schneider and DeWitt[1989], Kitsuregawa and Ogawa[1990], Lin et al.[1994], and wilschut et al.[1995], among other works. Parallel join algorithms for shared-memory architectures are described by Tsukuda et al.[1992], Deshpande and Larson[1992], and Shatdal and Naughton[1993]. Database System Concepts - 5th Edition, Aug 22, 2005. 21.60 ©Silberschatz, Korth and Sudarshan Ch21. Bibliographical Notes (3) Skew handling in parallel joins is described by Walton et al.[1991], Wolf[1991], and DeWitt et al.[1992]. Sampling techniques for parallel databases are described by Seshadri and Naughton[1992] and Ganguly et al.[1996]. The exchange-operator model was advocated by Graefe[1990] and Graefe[1993]. Parallel query-optimization techniques are described by H. Lu and Tan[1991], Hong and Stonebraker[1991], Ganguly et al.[1992], Lanzelotte et al.[1993], Hasan and Motwani[1995],and Jhingran et al.[1997]. Database System Concepts - 5th Edition, Aug 22, 2005. 21.61 ©Silberschatz, Korth and Sudarshan Chapter 21: Parallel Databases 21.1 Introduction 21.2 I/O Parallelism 21.3 Inter-query Parallelism 21.4 Intra-query Parallelism 21.5 Intra-operation Parallelism 21.6 Inter-operation Parallelism 21.7 Design of Parallel Systems 21.8 Summary Database System Concepts - 5th Edition, Aug 22, 2005. 21.62 ©Silberschatz, Korth and Sudarshan End of Chapter Database System Concepts, 5th Ed. ©Silberschatz, Korth and Sudarshan See www.db-book.com for conditions on re-use